1) An act of complete destruction through fire, as popularized by the web cartoon Homestar Runner by the character Trogdor the Burninator.

Similar bastardizations occur when changing tenses, or from noun to verb: c.f., "burninator", "burninate", et cetera.

2) The title of a movie at www.toydestruction.com, which is the first result in a google search for "burnination". The movie features a pink-and-grey furby being doused with white gas and then being lit on fire.

1)
Trogdor ran through the country side and burninated the villages. There was complete burnination.

2) Burnination was given four out of five stars in the repetoire of Toy Destruction movies.